{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What is a trip - grouping user  searches/watches into “trips”"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "pd.set_option('display.max_columns', 100)\n",
    "pd.set_option('display.float_format', lambda x: '%.5f' % x)\n",
    "pd.options.mode.chained_assignment = None\n",
    "from kmodes.kmodes import KModes\n",
    "from sklearn import preprocessing\n",
    "import itertools"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data Preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "search_sample_data is 0 bytes in size and is a directory.\n",
      "search_sample_data/watch_sample.csv is 431395288 bytes in size and is a regular file.\n",
      "search_sample_data/airports.csv is 661649 bytes in size and is a regular file.\n"
     ]
    }
   ],
   "source": [
    "import tarfile\n",
    "\n",
    "tar = tarfile.open(\"search_sample_data.tar.gz\", \"r:gz\")\n",
    "for tarinfo in tar:\n",
    "    print(tarinfo.name, \"is\", tarinfo.size, \"bytes in size and is \", end=\"\")\n",
    "    if tarinfo.isreg():\n",
    "        print(\"a regular file.\")\n",
    "    elif tarinfo.isdir():\n",
    "        print(\"a directory.\")\n",
    "    else:\n",
    "        print(\"something else.\")\n",
    "tar.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "tar = tarfile.open(\"search_sample_data.tar.gz\", \"r:gz\")\n",
    "tar.extractall()\n",
    "tar.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "watch_df = pd.read_csv('search_sample_data/watch_sample.csv')\n",
    "airport_df = pd.read_csv('search_sample_data/airports.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Merge two dataframes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "merged_df = pd.merge(watch_df, airport_df[['location_id', 'airport_group', 'country', 'region', 'latitude', 'longitude']], how='left', left_on='origin', right_on='location_id').drop(columns = ['location_id'])\n",
    "merged_df = merged_df.rename(columns={'airport_group': 'origin_airport_group', 'country': 'origin_country', 'region': 'origin_region', 'latitude': 'origin_latitude', 'longitude': 'origin_longitude'})\n",
    "\n",
    "merged_df = pd.merge(merged_df, airport_df[['location_id', 'airport_group', 'country', 'region', 'latitude', 'longitude']], how='left', left_on='destination', right_on='location_id').drop(columns = ['location_id'])\n",
    "merged_df = merged_df.rename(columns={'airport_group': 'dest_airport_group', 'country': 'dest_country', 'region': 'dest_region', 'latitude': 'dest_latitude', 'longitude': 'dest_longitude'})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are going to segment these searches by trips, so I removed the duplicate trips."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "duplicate trip id: 51735\n"
     ]
    }
   ],
   "source": [
    "print('duplicate trip id: {}'.format(merged_df['trip_id'].duplicated().sum()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "merged_df.drop_duplicates(subset ='trip_id', keep = 'last', inplace = True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I believe it makes sense to start with personalizing, or making recommendations to users who add \"watch\" during their search. Because:  \n",
    "\n",
    "* The more we know about the user the better we can personalize the message to fit their interests.\n",
    "* When an user add \"watch\", this indicates he (or she) is interested in this trip and would like to receive notifications on the update of the trip price.\n",
    "* There are over 31% of these searches that user added \"watch\", I will use these searches for the segmentation prototype."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3127309859281089"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 - merged_df['watch_added_dt'].isnull().sum() / merged_df.shape[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = merged_df[pd.notnull(merged_df['watch_added_dt'])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "United States    0.77194\n",
       "Canada           0.06268\n",
       "Puerto Rico      0.01669\n",
       "Mexico           0.01283\n",
       "United Kingdom   0.01187\n",
       "                   ...  \n",
       "Mongolia         0.00000\n",
       "American Samoa   0.00000\n",
       "Cote d'Ivoire    0.00000\n",
       "Somalia          0.00000\n",
       "Libya            0.00000\n",
       "Name: origin_country, Length: 170, dtype: float64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['origin_country'].value_counts() / df.shape[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Over 77% of these searches were originated from the United States, I believe it makes sense to segment these trips (originated from the US) first. Because: \n",
    "* I want to use US public holidays as a feature; \n",
    "* Travel behaviors are different between travelers from different countries / regions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "us_search = df.loc[df['origin_country'] == 'United States']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "stay           0.16410\n",
       "lowest_price   0.00115\n",
       "first_price    0.00115\n",
       "dtype: float64"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "us_search[['stay', 'lowest_price', 'first_price']].isnull().sum() / us_search.shape[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*About missing values*\n",
    "\n",
    "16% of the number of stays are missing because it was a one-way trip, so I decided to fill missing stay with median values. 0.1% of searches have no price in it, I believe price is one of the most important elements for trip segmentation. I decided to remove thoes rows with missing prices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "us_search['stay'].fillna((us_search['stay'].median()), inplace=True)\n",
    "us_search = us_search[pd.notnull(us_search['first_price'])]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Add a new feature - booking window."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in ['departure_date', 'first_searched_dt']:\n",
    "    us_search[i] = pd.to_datetime(us_search[i])\n",
    "us_search['first_searched_dt'] = us_search['first_searched_dt'].dt.date\n",
    "us_search['first_searched_dt'] = pd.to_datetime(us_search['first_searched_dt'])\n",
    "\n",
    "us_search['booking_window'] = (us_search['departure_date'] - us_search['first_searched_dt']).dt.days"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>stay</td>\n",
       "      <td>269203.00000</td>\n",
       "      <td>6.81171</td>\n",
       "      <td>9.04457</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>3.00000</td>\n",
       "      <td>5.00000</td>\n",
       "      <td>7.00000</td>\n",
       "      <td>305.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>booking_window</td>\n",
       "      <td>269203.00000</td>\n",
       "      <td>97.48869</td>\n",
       "      <td>72.57400</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>41.00000</td>\n",
       "      <td>79.00000</td>\n",
       "      <td>139.00000</td>\n",
       "      <td>356.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>first_price</td>\n",
       "      <td>269203.00000</td>\n",
       "      <td>432.30680</td>\n",
       "      <td>340.91134</td>\n",
       "      <td>34.00000</td>\n",
       "      <td>220.00000</td>\n",
       "      <td>336.00000</td>\n",
       "      <td>530.00000</td>\n",
       "      <td>15141.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>lowest_price</td>\n",
       "      <td>269203.00000</td>\n",
       "      <td>380.73623</td>\n",
       "      <td>299.67273</td>\n",
       "      <td>24.00000</td>\n",
       "      <td>190.00000</td>\n",
       "      <td>296.00000</td>\n",
       "      <td>472.00000</td>\n",
       "      <td>14205.00000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                      count      mean       std      min       25%       50%  \\\n",
       "stay           269203.00000   6.81171   9.04457  0.00000   3.00000   5.00000   \n",
       "booking_window 269203.00000  97.48869  72.57400  0.00000  41.00000  79.00000   \n",
       "first_price    269203.00000 432.30680 340.91134 34.00000 220.00000 336.00000   \n",
       "lowest_price   269203.00000 380.73623 299.67273 24.00000 190.00000 296.00000   \n",
       "\n",
       "                     75%         max  \n",
       "stay             7.00000   305.00000  \n",
       "booking_window 139.00000   356.00000  \n",
       "first_price    530.00000 15141.00000  \n",
       "lowest_price   472.00000 14205.00000  "
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "us_search[['stay', 'booking_window', 'first_price', 'lowest_price']].describe().T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0031351805143330497, 0.0014598648603470243)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "us_search.loc[us_search['stay'] == 0].shape[0] / us_search.shape[0], us_search.loc[us_search['booking_window'] == 0].shape[0] / us_search.shape[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Observations*\n",
    "\n",
    "In the data, the first price and lowest price are pretty close.\n",
    "\n",
    "Approx. 0.3% of these trips were for the same day departure and return. And another 0.1% of trips were looking to leave ASAP (i.e.first search day and departure day were the same day)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Add a new column for flight routes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "us_search['route'] = us_search['origin']+' to '+us_search['destination']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>trips</th>\n",
       "      <th>departure dates</th>\n",
       "      <th>routes</th>\n",
       "      <th>destination countries</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>count</td>\n",
       "      <td>269203</td>\n",
       "      <td>773</td>\n",
       "      <td>25696</td>\n",
       "      <td>178</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        trips  departure dates  routes  destination countries\n",
       "count  269203              773   25696                    178"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame([{'trips': len(us_search['trip_id'].value_counts()),    \n",
    "               'departure dates': len(us_search['departure_date'].value_counts()),\n",
    "               'routes': len(us_search['route'].value_counts()),\n",
    "               'destination countries': len(us_search['dest_country'].value_counts())\n",
    "              }], columns = ['trips', 'departure dates', 'routes', 'destination countries'], index = ['count'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data contains 269,203 trips with 25,696 different flight routes and 773 different departure dates to 178 destination countries."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I would like to create a new feature\n",
    "\n",
    "* US public holidays"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Search departure date minimum value 2018-01-01 00:00:00\n",
      " Search departure date maximum value 2020-03-01 00:00:00\n"
     ]
    }
   ],
   "source": [
    "print(f' Search departure date minimum value {us_search.departure_date.min()}')\n",
    "print(f' Search departure date maximum value {us_search.departure_date.max()}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The top searched travel date is around memorial day, followed by Christmas, and Wed prior to US thanksgiving is the busiest travel day in the US."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2018-05-25    1682\n",
       "2018-12-21    1656\n",
       "2018-12-22    1405\n",
       "2018-11-21    1327\n",
       "2018-05-24    1322\n",
       "2018-08-31    1304\n",
       "2018-04-20    1283\n",
       "2018-06-01    1246\n",
       "2018-05-04    1244\n",
       "2018-03-23    1237\n",
       "2018-05-11    1204\n",
       "2018-03-30    1181\n",
       "2018-06-15    1168\n",
       "2018-06-22    1150\n",
       "2018-06-29    1148\n",
       "2018-04-19    1136\n",
       "2018-05-17    1130\n",
       "2018-04-13    1117\n",
       "2018-03-29    1102\n",
       "2018-06-08    1098\n",
       "Name: departure_date, dtype: int64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "us_search['departure_date'].value_counts()[:20]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "us_search.loc[(us_search['departure_date'] >= '2018-05-24') & (us_search['departure_date'] <= '2018-05-26'), 'holiday'] = 'Memorial'\n",
    "us_search.loc[(us_search['departure_date'] >= '2019-05-23') & (us_search['departure_date'] <= '2019-05-25'), 'holiday'] = 'Memorial'\n",
    "\n",
    "us_search.loc[(us_search['departure_date'] >= '2018-07-02') & (us_search['departure_date'] <= '2018-07-04'), 'holiday'] = 'Independence'\n",
    "us_search.loc[(us_search['departure_date'] >= '2019-07-02') & (us_search['departure_date'] <= '2019-07-04'), 'holiday'] = 'Independence'\n",
    "\n",
    "us_search.loc[(us_search['departure_date'] >= '2018-08-30') & (us_search['departure_date'] <= '2018-09-01'), 'holiday'] = 'Labor'\n",
    "us_search.loc[(us_search['departure_date'] >= '2019-08-29') & (us_search['departure_date'] <= '2019-08-31'), 'holiday'] = 'Labor'\n",
    "\n",
    "us_search.loc[(us_search['departure_date'] >= '2018-11-20') & (us_search['departure_date'] <= '2018-11-21'), 'holiday'] = 'Thanksgiving'\n",
    "us_search.loc[(us_search['departure_date'] >= '2019-11-26') & (us_search['departure_date'] <= '2019-11-27'), 'holiday'] = 'Thanksgiving'\n",
    "\n",
    "us_search.loc[(us_search['departure_date'] >= '2018-12-21') & (us_search['departure_date'] <= '2018-12-24'), 'holiday'] = 'Christmas'\n",
    "us_search.loc[(us_search['departure_date'] >= '2019-12-20') & (us_search['departure_date'] <= '2019-12-21'), 'holiday'] = 'Christmas'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "us_search['holiday'].fillna('Normal', inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we segment trips, what are important factors for characterize a \"trip\"? Let's focus on the following features.\n",
    "\n",
    "* Weekends or weekdays\n",
    "* Destinations\n",
    "* Flight routes\n",
    "* Booking window\n",
    "* How long they stay\n",
    "* Price\n",
    "* Holdiay or not"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## EDA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "76% of these trips were for weekday departures."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0   0.75966\n",
       "1   0.24034\n",
       "Name: weekend, dtype: float64"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "us_search['weekend'].value_counts() / us_search.shape[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "60% of the recommendations were \"wait\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "wait   0.60775\n",
       "buy    0.39225\n",
       "Name: first_rec, dtype: float64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "us_search['first_rec'].value_counts() / us_search.shape[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "According to current available data, more then 68% of these searches were about traveling within the country, 10% of these searches were about traveling to Europe. And so on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "United States                0.68452\n",
       "Europe                       0.10145\n",
       "Antilles                     0.05666\n",
       "Mexico and Central America   0.05468\n",
       "Asia                         0.04725\n",
       "South America                0.02035\n",
       "Canada                       0.01592\n",
       "Africa and Mideast           0.01219\n",
       "Oceania                      0.00638\n",
       "Russia                       0.00061\n",
       "Name: dest_region, dtype: float64"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "us_search['dest_region'].value_counts()/us_search.shape[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,5))\n",
    "sns.countplot(x='dest_region', data=us_search, order=us_search['dest_region'].value_counts().index, palette=\"Blues_d\")\n",
    "plt.title('Search destination regions', size=15)\n",
    "sns.despine();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Top 20 searched routes.\n",
    "\n",
    "19 of these top 20 searched routes were within the US. Only one is from NYC to Paris."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,5))\n",
    "top_routes = us_search['route'].value_counts()[:20].rename_axis('route').reset_index(name='counts')\n",
    "sns.barplot(\"route\", y=\"counts\", data=top_routes, palette=\"Blues_d\")\n",
    "plt.xticks(rotation=45, horizontalalignment='right', fontsize='large')\n",
    "plt.title('Top 20 searched flight routes', size=12)\n",
    "sns.despine();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An interesting observation is that 12 of these top 20 routes are from NYC to somewhere, mostly to somewhere warm within the country, only one from NYC to Paris"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "holiday_df = us_search['holiday'].value_counts().rename_axis('holiday').reset_index(name='counts')\n",
    "sns.barplot(\"holiday\", y=\"counts\", data=holiday_df, palette=\"Blues_d\")\n",
    "plt.xticks(fontsize='large')\n",
    "plt.title('Holiday departures', size=12)\n",
    "sns.despine();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I had a feeling that the users are not likely to travel during busy holiday travel seasons probably because of the high-season prices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cols = ['booking_window', 'stay', 'first_price', 'lowest_price']\n",
    "length = len(cols)\n",
    "cs     = [(0.30196078431372547, 0.6862745098039216, 0.2901960784313726),\n",
    "          (0.596078431372549, 0.3058823529411765, 0.6392156862745098),\n",
    "          (1.0, 0.4980392156862745, 0.0),\"b\"]\n",
    "\n",
    "sns.set_style(\"darkgrid\")\n",
    "plt.figure(figsize = (10,10))\n",
    "for i,j,k in itertools.zip_longest(cols,range(length), cs):\n",
    "    plt.subplot(length/2,length/2,j+1)\n",
    "    sns.distplot(us_search[i],color = k)\n",
    "    plt.axvline(us_search[i].mean(),linewidth  = 2 ,\n",
    "                linestyle = \"dashed\",color = \"k\" ,\n",
    "                label = \"Mean\")\n",
    "    plt.legend(loc = \"best\")\n",
    "    plt.title(i,color = \"b\")\n",
    "    plt.xlabel(\"\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 417x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot('booking_window','first_price',data=us_search, hue='first_rec', palette='coolwarm',height=5,aspect=1,fit_reg=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 413x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot('booking_window','first_price',data=us_search, hue='weekend', palette='coolwarm',height=5,aspect=1,fit_reg=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>first_price</th>\n",
       "      <th>lowest_price</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>count</td>\n",
       "      <td>269203.00000</td>\n",
       "      <td>269203.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>mean</td>\n",
       "      <td>432.30680</td>\n",
       "      <td>380.73623</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>std</td>\n",
       "      <td>340.91134</td>\n",
       "      <td>299.67273</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>min</td>\n",
       "      <td>34.00000</td>\n",
       "      <td>24.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>25%</td>\n",
       "      <td>220.00000</td>\n",
       "      <td>190.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>50%</td>\n",
       "      <td>336.00000</td>\n",
       "      <td>296.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>75%</td>\n",
       "      <td>530.00000</td>\n",
       "      <td>472.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>max</td>\n",
       "      <td>15141.00000</td>\n",
       "      <td>14205.00000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       first_price  lowest_price\n",
       "count 269203.00000  269203.00000\n",
       "mean     432.30680     380.73623\n",
       "std      340.91134     299.67273\n",
       "min       34.00000      24.00000\n",
       "25%      220.00000     190.00000\n",
       "50%      336.00000     296.00000\n",
       "75%      530.00000     472.00000\n",
       "max    15141.00000   14205.00000"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "us_search[['first_price', 'lowest_price']].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First price and lowest price are pretty close. I will use lowest price from now on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "price_range = [0, 100, 300, 500, 1000, 2000, 14205]\n",
    "count_price = []\n",
    "for i, price in enumerate(price_range):\n",
    "    if i == 0: continue\n",
    "    val = us_search[(us_search['lowest_price'] < price) &\n",
    "                       (us_search['lowest_price'] > price_range[i-1])]['lowest_price'].count()\n",
    "    count_price.append(val)\n",
    "       \n",
    "plt.rc('font', weight='bold')\n",
    "f, ax = plt.subplots(figsize=(11, 6))\n",
    "colors = ['yellowgreen', 'gold', 'wheat', 'c', 'violet', 'royalblue','firebrick']\n",
    "labels = [ '{}<.<{}'.format(price_range[i-1], s) for i,s in enumerate(price_range) if i != 0]\n",
    "sizes  = count_price\n",
    "explode = [0.0 if sizes[i] < 100 else 0.0 for i in range(len(sizes))]\n",
    "ax.pie(sizes, explode = explode, labels=labels, colors = colors,\n",
    "       autopct = lambda x:'{:1.0f}%'.format(x) if x > 1 else '',\n",
    "       shadow = False, startangle=0)\n",
    "ax.axis('equal')\n",
    "f.text(0.5, 1.01, \"Distribution of lowest price\", ha='center', fontsize = 12);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that 73% of these trips are in the price range at 100 to 500 dollars."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stay_range = [0, 3, 7, 14, 30, 100, 305]\n",
    "count_stay = []\n",
    "for i, stay in enumerate(stay_range):\n",
    "    if i == 0: continue\n",
    "    val = us_search[(us_search['stay'] < stay) &\n",
    "                       (us_search['stay'] > stay_range[i-1])]['stay'].count()\n",
    "    count_stay.append(val)\n",
    "       \n",
    "plt.rc('font', weight='bold')\n",
    "f, ax = plt.subplots(figsize=(11, 6))\n",
    "colors = ['yellowgreen', 'gold', 'wheat', 'c', 'violet', 'royalblue','firebrick']\n",
    "labels = [ '{}<.<{}'.format(stay_range[i-1], s) for i,s in enumerate(stay_range) if i != 0]\n",
    "sizes  = count_stay\n",
    "explode = [0.0 if sizes[i] < 100 else 0.0 for i in range(len(sizes))]\n",
    "ax.pie(sizes, explode = explode, labels=labels, colors = colors,\n",
    "       autopct = lambda x:'{:1.0f}%'.format(x) if x > 1 else '',\n",
    "       shadow = False, startangle=0)\n",
    "ax.axis('equal')\n",
    "f.text(0.5, 1.01, \"Distribution of stays\", ha='center', fontsize = 12);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "73% of these trips are in the stay range at 0 to 7 days."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "booking_window_range = [0, 20, 60, 90, 120, 200, 356]\n",
    "count_booking_window = []\n",
    "for i, booking_window in enumerate(booking_window_range):\n",
    "    if i == 0: continue\n",
    "    val = us_search[(us_search['booking_window'] < booking_window) &\n",
    "                       (us_search['booking_window'] > booking_window_range[i-1])]['booking_window'].count()\n",
    "    count_booking_window.append(val)\n",
    "       \n",
    "plt.rc('font', weight='bold')\n",
    "f, ax = plt.subplots(figsize=(11, 6))\n",
    "colors = ['yellowgreen', 'gold', 'wheat', 'c', 'violet', 'royalblue','firebrick']\n",
    "labels = [ '{}<.<{}'.format(booking_window_range[i-1], s) for i,s in enumerate(booking_window_range) if i != 0]\n",
    "sizes  = count_booking_window\n",
    "explode = [0.0 if sizes[i] < 100 else 0.0 for i in range(len(sizes))]\n",
    "ax.pie(sizes, explode = explode, labels=labels, colors = colors,\n",
    "       autopct = lambda x:'{:1.0f}%'.format(x) if x > 1 else '',\n",
    "       shadow = False, startangle=0)\n",
    "ax.axis('equal')\n",
    "f.text(0.5, 1.01, \"Distribution of booking window\", ha='center', fontsize = 12);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "55% of these trips are in the booking window range at 0 to 90 days."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K-Mode Clustering\n",
    "\n",
    "Create bins for all the numeric features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "us_search['stay_bin'] = pd.cut(us_search['stay'], [-1, 3, 7, 14, 30, 100, 305], \n",
    "                               labels=['0-3', '3-7', '7-14', '14-30','30-100','100-305'])\n",
    "\n",
    "us_search['lowest_price_bin'] = pd.cut(us_search['lowest_price'], [0, 100, 300, 500, 1000, 2000, 14205], \n",
    "                              labels=['0-100', '100-300', '300-500', '500-1000','1000-2000','2000-14205'])\n",
    "\n",
    "us_search['booking_window_bin'] = pd.cut(us_search['booking_window'], [-1, 20, 60, 90, 120, 200, 356], \n",
    "                              labels=['0-20', '20-60', '60-90', '90-120','120-200','200-356'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "us_search_clean_1 = us_search[['weekend', 'dest_region', 'route', 'holiday', 'stay_bin', 'lowest_price_bin', 'booking_window_bin', 'stay', 'lowest_price', 'booking_window']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "weekend               0\n",
       "dest_region           0\n",
       "route                 0\n",
       "holiday               0\n",
       "stay_bin              0\n",
       "lowest_price_bin      0\n",
       "booking_window_bin    0\n",
       "stay                  0\n",
       "lowest_price          0\n",
       "booking_window        0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "us_search_clean_1.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "us_search_clean_copy = us_search_clean_1.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "us_search_clean = us_search[['weekend', 'dest_region', 'route', 'holiday', 'stay_bin', 'lowest_price_bin', 'booking_window_bin']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>weekend</th>\n",
       "      <th>dest_region</th>\n",
       "      <th>route</th>\n",
       "      <th>holiday</th>\n",
       "      <th>stay_bin</th>\n",
       "      <th>lowest_price_bin</th>\n",
       "      <th>booking_window_bin</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>24039</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>9</td>\n",
       "      <td>18950</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>10728</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>15099</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>11</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>23506</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    weekend  dest_region  route  holiday  stay_bin  lowest_price_bin  \\\n",
       "1         0            9  24039        4         3                 4   \n",
       "3         1            9  18950        4         0                 1   \n",
       "5         0            9  10728        4         3                 1   \n",
       "8         0            5  15099        4         3                 4   \n",
       "11        0            9  23506        4         3                 0   \n",
       "\n",
       "    booking_window_bin  \n",
       "1                    1  \n",
       "3                    2  \n",
       "5                    2  \n",
       "8                    2  \n",
       "11                   2  "
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "le = preprocessing.LabelEncoder()\n",
    "us_search_clean = us_search_clean.apply(le.fit_transform)\n",
    "us_search_clean.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Init: initializing centroids\n",
      "Init: initializing clusters\n",
      "Starting iterations...\n",
      "Run 1, iteration: 1/100, moves: 0, cost: 904006.0\n",
      "Init: initializing centroids\n",
      "Init: initializing clusters\n",
      "Starting iterations...\n",
      "Run 1, iteration: 1/100, moves: 0, cost: 815646.0\n",
      "Init: initializing centroids\n",
      "Init: initializing clusters\n",
      "Starting iterations...\n",
      "Run 1, iteration: 1/100, moves: 14959, cost: 738494.0\n",
      "Run 1, iteration: 2/100, moves: 3035, cost: 738494.0\n",
      "Init: initializing centroids\n",
      "Init: initializing clusters\n",
      "Starting iterations...\n",
      "Run 1, iteration: 1/100, moves: 16986, cost: 713914.0\n",
      "Run 1, iteration: 2/100, moves: 0, cost: 713914.0\n",
      "Init: initializing centroids\n",
      "Init: initializing clusters\n",
      "Starting iterations...\n",
      "Run 1, iteration: 1/100, moves: 15220, cost: 705659.0\n",
      "Run 1, iteration: 2/100, moves: 61, cost: 705659.0\n"
     ]
    }
   ],
   "source": [
    "cost = []\n",
    "for num_clusters in list(range(1,6)):\n",
    "    kmode = KModes(n_clusters=num_clusters, init = 'Cao', verbose=1)\n",
    "    kmode.fit_predict(us_search_clean)\n",
    "    cost.append(kmode.cost_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = np.array([i for i in range(1,6,1)])\n",
    "plt.plot(y,cost);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Choose k=3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Init: initializing centroids\n",
      "Init: initializing clusters\n",
      "Starting iterations...\n",
      "Run 1, iteration: 1/100, moves: 14959, cost: 738494.0\n",
      "Run 1, iteration: 2/100, moves: 3035, cost: 738494.0\n"
     ]
    }
   ],
   "source": [
    "km_cao = KModes(n_clusters=3, init = \"Cao\", verbose=1)\n",
    "fitClusters_cao = km_cao.fit_predict(us_search_clean)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "us_search_clean = us_search_clean_copy.reset_index()\n",
    "\n",
    "segment_df = pd.DataFrame(fitClusters_cao)\n",
    "segment_df.columns = ['segment_predicted']\n",
    "combined_df = pd.concat([us_search_clean, segment_df], axis = 1).reset_index()\n",
    "combined_df = combined_df.drop(['index', 'level_0'], axis = 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Segment by destination regions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize = (12,5))\n",
    "sns.countplot(x=combined_df['dest_region'],order=combined_df['dest_region'].value_counts().index,hue=combined_df['segment_predicted'])\n",
    "plt.xticks(rotation=90)\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Segment by flight routes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize = (20,5))\n",
    "sns.countplot(x=combined_df['route'],order=combined_df['route'].value_counts()[:30].index,hue=combined_df['segment_predicted'])\n",
    "plt.xticks(rotation=45, horizontalalignment='right', fontsize='large')\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Segment by US public holidays"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize = (12,5))\n",
    "sns.countplot(x=combined_df['holiday'],order=combined_df['holiday'].value_counts().index,hue=combined_df['segment_predicted'])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Segment by weekends vs. weekdays"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize = (12,5))\n",
    "sns.countplot(x=combined_df['weekend'],order=combined_df['weekend'].value_counts().index,hue=combined_df['segment_predicted'])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize = (12,5))\n",
    "sns.countplot(x=combined_df['lowest_price_bin'],order=combined_df['lowest_price_bin'].value_counts().index,hue=combined_df['segment_predicted'])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize = (12,5))\n",
    "sns.countplot(x=combined_df['stay_bin'],order=combined_df['stay_bin'].value_counts().index,hue=combined_df['segment_predicted'])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize = (12,5))\n",
    "sns.countplot(x=combined_df['booking_window_bin'],order=combined_df['booking_window_bin'].value_counts().index,hue=combined_df['segment_predicted'])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(combined_df.loc[combined_df['segment_predicted'] == 0]['lowest_price'] , color=\"blue\", label=\"Segment 0\")\n",
    "sns.distplot(combined_df.loc[combined_df['segment_predicted'] == 1]['lowest_price'] , color=\"orange\", label=\"Segment 1\")\n",
    "sns.distplot(combined_df.loc[combined_df['segment_predicted'] == 2]['lowest_price'] , color=\"green\", label=\"Segment 2\")\n",
    "plt.xlim(0, 3000)\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "count   178519.00000\n",
      "mean       310.67400\n",
      "std        259.33362\n",
      "min         24.00000\n",
      "25%        163.00000\n",
      "50%        246.00000\n",
      "75%        366.00000\n",
      "max      12035.00000\n",
      "Name: lowest_price, dtype: float64 count   48101.00000\n",
      "mean      319.78953\n",
      "std       152.21355\n",
      "min        57.00000\n",
      "25%       218.00000\n",
      "50%       314.00000\n",
      "75%       387.00000\n",
      "max      5263.00000\n",
      "Name: lowest_price, dtype: float64 count   42583.00000\n",
      "mean      743.29963\n",
      "std       321.53337\n",
      "min        74.00000\n",
      "25%       539.00000\n",
      "50%       675.00000\n",
      "75%       876.00000\n",
      "max     14205.00000\n",
      "Name: lowest_price, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(combined_df.loc[combined_df['segment_predicted'] == 0]['lowest_price'].describe(), combined_df.loc[combined_df['segment_predicted'] == 1]['lowest_price'].describe(), combined_df.loc[combined_df['segment_predicted'] == 2]['lowest_price'].describe())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(combined_df.loc[combined_df['segment_predicted'] == 0]['stay'] , color=\"blue\", label=\"Segment 0\")\n",
    "sns.distplot(combined_df.loc[combined_df['segment_predicted'] == 1]['stay'] , color=\"orange\", label=\"Segment 1\")\n",
    "sns.distplot(combined_df.loc[combined_df['segment_predicted'] == 2]['stay'] , color=\"green\", label=\"Segment 2\")\n",
    "plt.xlim(0, 50)\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "count   178519.00000\n",
      "mean         6.17189\n",
      "std          7.68286\n",
      "min          0.00000\n",
      "25%          4.00000\n",
      "50%          5.00000\n",
      "75%          6.00000\n",
      "max        303.00000\n",
      "Name: stay, dtype: float64 count   48101.00000\n",
      "mean        3.21436\n",
      "std         3.49705\n",
      "min         0.00000\n",
      "25%         2.00000\n",
      "50%         3.00000\n",
      "75%         3.00000\n",
      "max       156.00000\n",
      "Name: stay, dtype: float64 count   42583.00000\n",
      "mean       13.55750\n",
      "std        13.93021\n",
      "min         0.00000\n",
      "25%         8.00000\n",
      "50%        10.00000\n",
      "75%        14.00000\n",
      "max       305.00000\n",
      "Name: stay, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(combined_df.loc[combined_df['segment_predicted'] == 0]['stay'].describe(), combined_df.loc[combined_df['segment_predicted'] == 1]['stay'].describe(), combined_df.loc[combined_df['segment_predicted'] == 2]['stay'].describe())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(combined_df.loc[combined_df['segment_predicted'] == 0]['booking_window'] , color=\"blue\", label=\"Segment 0\")\n",
    "sns.distplot(combined_df.loc[combined_df['segment_predicted'] == 1]['booking_window'] , color=\"orange\", label=\"Segment 1\")\n",
    "sns.distplot(combined_df.loc[combined_df['segment_predicted'] == 2]['booking_window'] , color=\"green\", label=\"Segment 2\")\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "count   178519.00000\n",
      "mean        86.54932\n",
      "std         69.41991\n",
      "min          0.00000\n",
      "25%         36.00000\n",
      "50%         64.00000\n",
      "75%        117.00000\n",
      "max        356.00000\n",
      "Name: booking_window, dtype: float64 count   48101.00000\n",
      "mean       96.34519\n",
      "std        66.21101\n",
      "min         0.00000\n",
      "25%        44.00000\n",
      "50%        87.00000\n",
      "75%       137.00000\n",
      "max       344.00000\n",
      "Name: booking_window, dtype: float64 count   42583.00000\n",
      "mean      144.64108\n",
      "std        73.59190\n",
      "min         0.00000\n",
      "25%        90.00000\n",
      "50%       139.00000\n",
      "75%       189.00000\n",
      "max       351.00000\n",
      "Name: booking_window, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(combined_df.loc[combined_df['segment_predicted'] == 0]['booking_window'].describe(), combined_df.loc[combined_df['segment_predicted'] == 1]['booking_window'].describe(), combined_df.loc[combined_df['segment_predicted'] == 2]['booking_window'].describe())"
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    "### Interpret the results\n",
    "\n",
    "Segment 0: \n",
    "* The largest segment which contains 178,519 trips.\n",
    "* They are mostly domestic routes within the United States, plus some routes from the US to Mexico or Antilles. \n",
    "* Most of these routes are likely to be from NYC or Chicago to somewhere warm, such as California, Florida or Nevada. \n",
    "* These trips are likely to depart on weekdays. \n",
    "* The average price is 310 dollars, and the average stay is about 6 days, and user’s average booking window is less than 3 months. \n",
    "\n",
    "So, the trips in Segment 0 sound like week-long vacations from the East to the sunny destinations. \n",
    "\n",
    "Segment 1: \n",
    "* This segment contains 48,101 trips.\n",
    "* Trips in this segment are largely domestic trips as well. \n",
    "* These trips are likely to depart on the weekends, that including Memorial weekend and Labor day weekend; They are weekend Getaways for about 3 days. \n",
    "* Because it is a weekend Getaway, they are likely to flight short distance within the US. \n",
    "* The average price is 319 dollars.\n",
    "\n",
    "So, the trips in Segment 1 are mostly quick weekend Getaways with relative short flight. They can be cheap, romantic or last minute, or just recharge from the hustle and bustle of the city life. \n",
    "\n",
    "Segment 2: \n",
    "* This segment contains 42,583 trips.\n",
    "* Trips in this segment are likely to be international trips such as traveling from the US to Europe, Asia or domestic trips but traveling far away such as to Hawaii. \n",
    "* For this type of trips, the users tend to search departure on weekdays. \n",
    "* The average price is 743 dollars, and the average stay is around 14 days. \n",
    "* Users tend to plan earlier for long distance trips with average booking window at about 4–5 months. \n",
    "\n",
    "### How do we use this information?\n",
    "\n",
    "Business will be able to provide an optimal experience for its users based on their intent by using above knowledge to create more effective content or recommendations. \n",
    "For example, once a user searches and watches a trip in Segment 1, the company would know this user is likely to look for a weekend Getaways, the company then can give travel advice on weekend Getaways or recommend other similar weekend Getaways destinations that currently have promotion on flights or hotels."
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